Find the missing number.
$3, 7, 13, 21, 31, . . . . .$

34

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37

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42

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43

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Solution

The correct option is D $43$
Pattern is $1^{2} + 2, 2^{2} + 3, 3^{2} + 4, 4^{2} + 5, 5^{2} + 6, 6^{2} + 7, . . . . .$
$∴$ Missing number $= 36 + 7 = 43$ .

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Similar questions

11, 16, 23, 32, 43, . . . . .

$33$	$43$	$34$	$43$	$32$
$42$	$24$	$43$	$42$	$43$

\begin{matrix} S u b j e c t s A n i l & I & I I & I I I & I V & V M a t h s & 42 & 32 & 47 & 22 & 37 D I & 32 & 42 & 27 & 32 & 22 V A & 37 & 27 & 17 & 32 & 42 R e a s o n i n g & 47 & 49 & 34 & 41 & 39 E n g l i s h & 26 & 30 & 38 & 41 & 45 B a r u n M a t h s & 32 & 22 & 37 & 47 & 42 D I & 27 & 47 & 32 & 39 & 30 V A & 35 & 29 & 42 & 36 & 28 R e a s o n i n g & 44 & 45 & 42 & 45 & 47 E n g l i s h & 32 & 30 & 39 & 36 & 33 C h a m a n M a t h s & 33 & 34 & 37 & 44 & 39 D I & 44 & 42 & 35 & 42 & 38 V A & 36 & 43 & 42 & 40 & 39 R e a s o n i n g & 26 & 37 & 46 & 34 & 35 E n g l i s h & 27 & 29 & 35 & 35 & 43 D h a n n u M a t h s & 29 & 36 & 37 & 42 & 43 D I & 33 & 39 & 37 & 29 & 31 V A & 44 & 45 & 39 & 49 & 45 R e a s o n i n g & 31 & 36 & 48 & 43 & 43 E n g l i s h & 35 & 38 & 36 & 41 & 45 E l l a M a t h s & 35 & 34 & 43 & 45 & 46 D I & 47 & 33 & 44 & 39 & 47 V A & 47 & 44 & 39 & 43 & 42 R e a s o n i n g & 39 & 37 & 36 & 42 & 43 E n g l i s h & 32 & 33 & 38 & 41 & 44 \end{matrix}

\begin{matrix} S u b j e c t s A n i l & I & I I & I I I & I V & V M a t h s & 42 & 32 & 47 & 22 & 37 D I & 32 & 42 & 27 & 32 & 22 V A & 37 & 27 & 17 & 32 & 42 R e a s o n i n g & 47 & 49 & 34 & 41 & 39 E n g l i s h & 26 & 30 & 38 & 41 & 45 B a r u n M a t h s & 32 & 22 & 37 & 47 & 42 D I & 27 & 47 & 32 & 39 & 30 V A & 35 & 29 & 42 & 36 & 28 R e a s o n i n g & 44 & 45 & 42 & 45 & 47 E n g l i s h & 32 & 30 & 39 & 36 & 33 C h a m a n M a t h s & 33 & 34 & 37 & 44 & 39 D I & 44 & 42 & 35 & 42 & 38 V A & 36 & 43 & 42 & 40 & 39 R e a s o n i n g & 26 & 37 & 46 & 34 & 35 E n g l i s h & 27 & 29 & 35 & 35 & 43 D h a n n u M a t h s & 29 & 36 & 37 & 42 & 43 D I & 33 & 39 & 37 & 29 & 31 V A & 44 & 45 & 39 & 49 & 45 R e a s o n i n g & 31 & 36 & 48 & 43 & 43 E n g l i s h & 35 & 38 & 36 & 41 & 45 E l l a M a t h s & 35 & 34 & 43 & 45 & 46 D I & 47 & 33 & 44 & 39 & 47 V A & 47 & 44 & 39 & 43 & 42 R e a s o n i n g & 39 & 37 & 36 & 42 & 43 E n g l i s h & 32 & 33 & 38 & 41 & 44 \end{matrix}

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